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Worksheet: Phasors

In this worksheet, we will practice using phasors to describe the characteristics of the diffraction-produced interference patterns.

Q1:

Assume that the maxima are halfway between the minima of a single-slit diffraction pattern. Use the formula where 𝜙 is the phase difference between wavelets from the first and last sources,
to determine the intensities of the third and fourth maxima in terms of the intensity of the central maximum.

A0.0334𝐼,0.0250𝐼𝑜𝑜

B0.00367𝐼,0.00500𝐼𝑜𝑜

C0.00150𝐼,0.00200𝐼𝑜𝑜

D0.00500𝐼,0.00335𝐼𝑜𝑜

E0.00100𝐼,0.00122𝐼𝑜𝑜

Q2:

Assume that the maxima are located halfway between the minima of a single-slit diffraction
pattern.

Use the diameter and circumference of the phasor diagram shown to determine the intensity
of the third maximum in terms of the intensity of the central maximum.

A0.0334𝐼𝑜

B0.00367𝐼𝑜

C0.00150𝐼𝑜

D0.00500𝐼𝑜

E0.00100𝐼𝑜

Use the diameter and circumference of the phasor diagram shown to determine the intensity
of the fourth maximum in terms of the intensity of the central maximum.